Question

Given: ∆BCA is a right triangle.
Prove: a2 + b2 = c2



The two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles.

Answer 1

The two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles.

Statement Justification
Draw an altitude from point C to
Let = a
= b
= c
= h
= x
= y
y + x = c

a2 = cy; b2 = cx
a2 + b2 = cy + b2
a2 + b2 = cy + cx
a2 + b2 = c(y + x)
a2 + b2 = c(c)
a2 + b2 = c2

Which is NOT a justification for the proof?
Answer Addition Property of Equality
Distributive Property of Equality
Substitution
Transitive Property of Equality

Answer 2

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Answer 3

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